Termination of the given JBC could be disproven:

(0) Obligation:

JBC Problem based on JBC Program:

package simple.convLower;

public class ConvLower {

	public static void loop(int i) {
		while (i > 5) {
			if (i != 10) {
				i--;
			}
		}
	}
}


package simple.convLower;

public class Main {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		ConvLower.loop(args.length);
	}

}

(1) JBCNonTerm (EQUIVALENT transformation)

Constructed a run with a repetition. States 3 and 9 are repetitions.
0:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||0: load ADDR args||args: a2|| ->
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

1:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||1: arraylength|| - ||a2>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

2:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop(I)V|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

3:

<simple.convLower.ConvLower.loop||0: load INT i||i: iconst_10|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

4:

<simple.convLower.ConvLower.loop||1: push 5||i: iconst_10||iconst_10>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

5:

<simple.convLower.ConvLower.loop||2: LE||i: iconst_10||iconst_10, iconst_5>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

6:

<simple.convLower.ConvLower.loop||5: load INT i||i: iconst_10|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

7:

<simple.convLower.ConvLower.loop||6: push 10||i: iconst_10||iconst_10>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

8:

<simple.convLower.ConvLower.loop||8: EQ||i: iconst_10||iconst_10, iconst_10>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

9:

<simple.convLower.ConvLower.loop||0: load INT i||i: iconst_10|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a2(lv_0_0)]
<simple.convLower.Main.main||2: simple.convLower.ConvLower.loop|| - ||iconst_10>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a3
	String.CASE_INSENSITIVE_ORDER: o2
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a2([java.lang.String...]): length iconst_10
	a3([java.io.ObjectStreamField|]): length iconst_0
	o2!: String$CaseInsensitiveComparator()
Relations: 

(2) NO